The distribution

The distribution of an office payroll of a certain company was as follows:
1/9 for technical assistants;
1/6 for executives;
2/15 for the accounting force and
The rest is for the general clerical service.

How much was allotted to each group if the total payroll amounted to P90,225?

Correct answer:

a =  10025
b =  15037.5
c =  12030
d =  53132.5

Step-by-step explanation:

$$\begin{gathered} p=90225 \\ a=\frac{1}{9}\cdot p=\frac{1}{9}\cdot 90225=\frac{1\cdot 90225}{9}=\frac{90225}{9}=10025 \end{gathered}$$

$b=\frac{1}{6}\cdot p=\frac{1}{6}\cdot 90225=\frac{1\cdot 90225}{6}=\frac{90225}{6}=\frac{30075}{2}=15037\frac{1}{2}=15037.5$

$c=\frac{2}{15}\cdot p=\frac{2}{15}\cdot 90225=\frac{2\cdot 90225}{15}=\frac{180450}{15}=12030$

$d=p-a-b-c=90225-10025-\frac{30075}{2}-12030=\frac{106265}{2}=53132\frac{1}{2}=53132.5$

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